On the Color-Singlet States in Many-Quark Model with the su(4)-Algebraic Structure. II
On the Color-Singlet States in Many-Quark Model with the su(4)-Algebraic Structure. II
复制标题
具有su(4)-代数结构的多夸克模型中的颜色单线态。
DOI：
10.1143/ptp.126.293
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发表时间：
2011
影响因子：
--
通讯作者：
J. da Providencia and M. Yamamura
中科院分区：
文献类型：
--
作者：
Y. Tsue;C. Providencia;J. da Providencia and M. Yamamura
本文研究了具有u（4）-代数结构的具有对相互作用的多夸克模型的基态能量。玻色子实现方法中的精确本征态是通过施加色单态条件来构造的。打破SU（4）-动力学对称性的相互作用项对确定基态起着重要的作用。结果，作为核子的夸克配对态或夸克三重态被实现为具有被视为序参量的变量的特定值。除了实现这些基态的参数区域之外，还示出了具有不同序参数值的夸克配对和夸克三重态之间的两个过渡区域。
Ground-state energies are investigated in a many-quark model with pairing interactions, which has thesu(4)-algebraic structure. Exact eigenstates in the boson realization method are constructed by imposing a color-singlet condition developed in the previous paper. An interaction term breaking thesu(4)-dynamical symmetry plays an important role to determine the ground state. As a result, a quark-pairing state or a quark-triplet state as a nucleon is realized with a certain value of a variable which is regarded as an order parameter. In addition to the parameter regions in which these ground states are realized, it is shown that there are two transition regions between the quark-pairing and the quark-triplet states with different values of the order parameter.